13022133220033 has 12 divisors (see below), whose sum is σ = 15148316627652. Its totient is φ = 11161739433600.

The previous prime is 13022133220021. The next prime is 13022133220091. The reversal of 13022133220033 is 33002233122031.

It can be written as a sum of positive squares in 2 ways, for example, as 10131565392144 + 2890567827889 = 3183012^2 + 1700167^2 .

It is not a de Polignac number, because 13022133220033 - 2⁹ = 13022133219521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13022133220003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5563141 + ... + 7549357.

It is an arithmetic number, because the mean of its divisors is an integer number (1262359718971).

Almost surely, 2^{13022133220033} is an apocalyptic number.

It is an amenable number.

13022133220033 is a deficient number, since it is larger than the sum of its proper divisors (2126183407619).

13022133220033 is a wasteful number, since it uses less digits than its factorization.

13022133220033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120032 (or 2120025 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 13022133220033 its reverse (33002233122031), we get a palindrome (46024366342064).

The spelling of 13022133220033 in words is "thirteen trillion, twenty-two billion, one hundred thirty-three million, two hundred twenty thousand, thirty-three".